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Finding the Fourth Proportional to 11,749.28, 16,200.72 and 7,494.65

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Solution

The fourth proportional to 11,749.28, 16,200.72 and 7,494.65 is: 10,334.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749.28 : 16,200.72 = 7,494.65 : x
  2. Step 2: Convert to fraction form
    11,749.28/16,200.72 = 7,494.65/x
  3. Step 3: Cross multiply
    11,749.28x = 16,200.72 × 7,494.65
  4. Step 4: Simplify right side
    11,749.28x = 121,418,726.15
  5. Step 5: Solve for x
    x = 121,418,726.15/11,749.28
  6. Step 6: Final answer
    x = 10,334.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.